The best band is probabaly Steely Dan. They can take an audience full of three chord brains, lift them out of their seats, and take them on a truly wild romp of jazz chord progressions, time changes, and far out lyrics. When they finally set 'em down in their seats, at the end of the tune, the audience never knows they left three chord land. They just know they've enjoyed being someplace very weird. 😀
Where other jazz guys complain that the audience "just can't understand" their music, Steely Dan simply reaches out and builds and maintains the communication. That is the hallmark of truly great art.